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scoray [572]
3 years ago
15

When

Mathematics
1 answer:
stealth61 [152]3 years ago
3 0

x³ + ax² + 5x + 3. x + 2 = 0

x = -2

(-2)³ + a(-2)² + 5(-2) + 3 = 0

-8 + 4a - 10 + 3 = 0

4a - 15 = 0

4a = 15

a = 15/4

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Evaluate the expression.
Firlakuza [10]

Step-by-step explanation:

the expression 5²=25

i hope this is helpful.

6 0
2 years ago
Select the correct answer. Factor the polynomial below. 4x^2-16 A. 4(2 - x)2 B. 4(2 + x)(2 - x) C. 4(x - 2)2 D. 4(x + 2)(x - 2)
Stells [14]

Answer:

The answer is D

4(x²-4)=4(x-2)(x+2)

6 0
2 years ago
The function h is a quadratic function whose graph is a translation 7 units left and 9 units up of the parent function f(x) = x
slamgirl [31]

Answer:D ( if you add +4 to the (x + 3)^2)

Step-by-step explanation:

Parent function is f(x) = x^2

A translation 3 units left gives y = )x + 3)^2

- and 4 up gives y = (x + 3)^2 + 4 - vertex form.

Standard form :

y = x^2 + 6x + 9 + 4

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6 0
3 years ago
Use the net as an aid to compute the surface area of the triangular prism.
Ray Of Light [21]

Answer:

790

Step-by-step explanation:

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3 0
3 years ago
A square has a diagonal length of 10 ft. Draw a diagram and determine the perimeter of the square.
denpristay [2]

The perimeter of the square is: 20\sqrt2 ft

Step-by-step explanation:

The picture is attached with the answer.

the diagonal of a square divides it into two right angled-triangles.

We can use one of the triangle to find the length of side as the diagonal will be the hypotenuse of the triangle

Let a be the side of the square, then according to Pythagoras theorem

d^2=a^2+a^2\\(10)^2 = 2a^2\\2a^2=100

Dividing both sides by 2

\frac{2a^2}{2}=\frac{100}{2}\\a^2=50

Taking Square root on both sides

\sqrt{a^2}=\sqrt{50}\\a=\sqrt{25*2}\\a=\sqrt{5^2 * 2}\\a=5\sqrt{2}\ ft

Now,

P = 4a\\P = 4 * 5\sqrt{2}\\=20\sqrt{2}\ ft

Hence,

The perimeter of the square is: 20\sqrt2 ft

Keywords: Perimeter, Pythagoras Theorem

Learn more about Square at:

  • brainly.com/question/3306327
  • brainly.com/question/3375830

#learnwithBrainly

5 0
4 years ago
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